The question of optimal methods for decoding is also closely related to more fundamental questions related to swap-out-based resource states.
Specifically, what is the fundamental swap-out threshold of our architecture?
An alternative to swap-outs (i.e., replacing the GKP-node no-shows with squeezed light modes) is to treat the no-shows directly as erasure errors, but for these the threshold is set by percolation theory to be around 24.9%.
Is the swap-out threshold higher than the erasure threshold set by percolation theory [1]}, [2]} and in which regions of \((\delta ,p_0)\)  parameter space is it beneficial to have swap-outs rather than erasures?
With the current decoders, we obtained around 23.6% swap-out threshold, which likely can be improved substantially as numerous upgrades can be made to our inner and outer decoders.
We expect that development of an inner decoder that can treat more complicated arrangements of \(p\) -squeezed states in the lattice will provide fewer errors in the readout of qubit outcomes.
Furthermore, we expect improvements to the outer decoder by using a more sophisticated method for assigning weights that takes the structure of the inner decoder into account.
